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Finding the Third Proportional to 49,425 and 102,946

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Solution

The third proportional to 49,425 and 102,946 is: 214,423.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,425 : 102,946 = 102,946 : x
  2. Step 2: Convert to fraction form
    49,425/102,946 = 102,946/x
  3. Step 3: Cross multiply
    49,425x = 102,946 × 102,946
  4. Step 4: Simplify right side
    49,425x = 10,597,878,916
  5. Step 5: Solve for x
    x = 10,597,878,916/49,425
  6. Step 6: Final answer
    x = 214,423.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.